Question
If solid sphere and solid cylinder of same radius and density rotate about their own axis, the moment of inertia will be greater for $(L = R)$
✓
Answer
Moment of inertia of solid cylinder about $z$ -axis passing through its centre and parallel to its height is given by: $I_{C}=\frac{1}{2} M R^{2}=0.5 M R^{2}$
Moment of inertia of solid cylinder about an axis passing through its centre s given by:
$I_{S}=\frac{2}{5} M R^{2}=0.4 M R^{2}$
So, $I_{C}>I_{S}$
Hence, The moment of inertia of the solid cylinder will be greater than that of solid sphere.
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